Volume 6, Issue 1
On the Approximation of Linear Hamiltonian Systems

Zhong Ge & Kang Feng

DOI:

J. Comp. Math., 6 (1988), pp. 88-97

Published online: 1988-06

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  • Abstract

When we study the cscillation of a physical system near its equilibrium and ignor dissipative effects, we may assume it is a linear Hamiltonian system (H-system), which possesses a special symplectic structure. Thus there arises a question: how to take this structure into account in the approximation of the H-system? This question was first answered by Feng Kang for finite dimensional H-systems. We will in this paper discuss the symplectic difference schemes preserving the symplectic structure and its related properties, with emphasis on the infinite dimensional H-systems.

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@Article{JCM-6-88, author = {}, title = {On the Approximation of Linear Hamiltonian Systems}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {1}, pages = {88--97}, abstract = { When we study the cscillation of a physical system near its equilibrium and ignor dissipative effects, we may assume it is a linear Hamiltonian system (H-system), which possesses a special symplectic structure. Thus there arises a question: how to take this structure into account in the approximation of the H-system? This question was first answered by Feng Kang for finite dimensional H-systems. We will in this paper discuss the symplectic difference schemes preserving the symplectic structure and its related properties, with emphasis on the infinite dimensional H-systems. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9501.html} }
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